32768640 has 96 divisors (see below), whose sum is σ = 113174100. Its totient is φ = 8736768.

The previous prime is 32768611. The next prime is 32768641. The reversal of 32768640 is 4686723.

32768640 is a `hidden beast` number, since 3 + 2 + 7 + 6 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31270464 + 1498176 = 5592^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32768595 and 32768604.

It is not an unprimeable number, because it can be changed into a prime (32768641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2916 + ... + 8604.

Almost surely, 2^32768640 is an apocalyptic number.

32768640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56587050).

32768640 is an abundant number, since it is smaller than the sum of its proper divisors (80405460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32768640 is a wasteful number, since it uses less digits than its factorization.

32768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 32768640 is about 5724.3899238259. The cubic root of 32768640 is about 320.0020833198.

The spelling of 32768640 in words is "thirty-two million, seven hundred sixty-eight thousand, six hundred forty".